13108048800 has 432 divisors, whose sum is σ = 54150096672. Its totient is φ = 2723481600.

The previous prime is 13108048777. The next prime is 13108048813. The reversal of 13108048800 is 884080131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1288534 + ... + 1298666.

It is an arithmetic number, because the mean of its divisors is an integer number (125347446).

Almost surely, 2^13108048800 is an apocalyptic number.

13108048800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13108048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27075048336).

13108048800 is an abundant number, since it is smaller than the sum of its proper divisors (41042047872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13108048800 is a wasteful number, since it uses less digits than its factorization.

13108048800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10181 (or 10161 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 13108048800 in words is "thirteen billion, one hundred eight million, forty-eight thousand, eight hundred".